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Finding the Third Proportional to 320,508 and 691,789

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Solution

The third proportional to 320,508 and 691,789 is: 1,493,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,508 : 691,789 = 691,789 : x
  2. Step 2: Convert to fraction form
    320,508/691,789 = 691,789/x
  3. Step 3: Cross multiply
    320,508x = 691,789 × 691,789
  4. Step 4: Simplify right side
    320,508x = 478,572,020,521
  5. Step 5: Solve for x
    x = 478,572,020,521/320,508
  6. Step 6: Final answer
    x = 1,493,167.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.